This can be a smooth creation to Kaehlerian geometry and Hodge constitution. assurance starts with variables, advanced manifolds, holomorphic vector bundles, sheaves and cohomology concept (with the latter being taken care of in a extra theoretical means than is common in geometry). The e-book culminates with the Hodge decomposition theorem. In among, the writer proves the Kaehler identities, which ends up in the not easy Lefschetz theorem and the Hodge index theorem. the second one a part of the e-book investigates the which means of those ends up in a number of instructions.

**Read or Download Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics) PDF**

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